In order to simulate the dynamics of a single RBC in simple shear flow, we use the Lattice Boltzmann Method (LBM) to solve the fluid, and the Immersed Boundary Method (IBM) to describe the interaction between the fluid and the membrane [1]}.
The LBM hinges on the Lattice Boltzmann equation [1]}:
\(f_i(\mathbf {x}+\mathbf {c}_i\Delta t, t+ \Delta t) - f_i(\mathbf {x}, t) = -\frac{\Delta t}{\tau }\left(f_i(\mathbf {x}, t) - f_i^{(\mbox{\tiny eq})}(\mathbf {x}, t)\right) + f_i^{(F)}\; ,\) 
